Which word best describes this formula for the sequence an? an = -2an - 1 + 7n + 3 Choices: (A)explicit (B)recursive

Check Formula: Look at the formula: a_n = -2a_(n - 1) + 7n + 3. Does it use the previous term a_(n - 1)? Yes, it does.Use of Previous Term: Since the formula uses the previous term a_(n - 1), it's not just based on the index n. This means it's not explicit.Definition of Recursive Formula: The formula defines each term using the previous term in the sequence. That's the definition of a recursive formula.

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Which word best describes this formula for the sequence $a_n$ ? $\newline$ $a_n = -2a_{n - 1} + 7n + 3$ $\newline$ Choices: $\newline$ (A) explicit $\newline$ (B) recursive

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Math Problems

Algebra 1

Identify a sequence as explicit or recursive

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Q. Which word best describes this formula for the sequence

a_n

\newline

a_n = -2a_{n - 1} + 7n + 3

\newline

Choices:

\newline

(A) explicit

\newline

(B) recursive

Check Formula: Look at the formula: $a_n = -2a_{n - 1} + 7n + 3$ . Does it use the previous term $a_{n - 1}$ ? Yes, it does.
Use of Previous Term: Since the formula uses the previous term $a_{(n - 1)}$ , it's not just based on the index $n$ . This means it's not explicit.
Definition of Recursive Formula: The formula defines each term using the previous term in the sequence. That's the definition of a recursive formula.